If $x = - 1$ Is a Root Of $x ^ { 3 } + 2 x ^ { 2 } - x - 2 = 0$

question 57

Multiple Choice

If $x = - 1$ is a root of $x ^ { 3 } + 2 x ^ { 2 } - x - 2 = 0$ , use synthetic division to factor the polynomial completely and list all real solutions of the equation.

• A) \(( x - 2 ) ( x + 1 ) ( x - 1 ) ; x = 2 , - 1,1\)
• B) \(( x + 2 ) ( x + 1 ) ( x - 1 ) ; x = - 2 , - 1,1\)
• C) \(( x + 2 ) ( x + 1 ) ^ { 2 } ; x = - 2 , - 1\)
• D) \(( x + 2 ) ^ { 2 } ( x + 1 ) ; x = - 2 , - 1\)
• E) \(( x + 2 ) ( x - 2 ) ( x - 1 ) ; x = - 2,2,1\)

---

Definitions:

Section 92

Often referenced in legal texts, it might relate to a specific provision within a comprehensive statute, necessitating additional context to determine its exact nature.

Constitution Act, 1867

A foundational statute that established the federation of Canada, defining the structure of government, the judiciary, and the distribution of legislative powers between the federal and provincial levels.

Rule Of Law

An unwritten convention inherited from Britain that recognizes that although Parliament is supreme and can create any law considered appropriate, citizens are protected from the arbitrary actions of the government.

Charter Of Rights And Freedoms

A foundational document in Canada that outlines the rights and freedoms guaranteed to individuals, typically protecting citizens from government actions.